I have been dancing tango for a few years. I am the first to say I am not perfect, but I am reasonable tango dancer. Probably intermediate.
I have started learning with new teachers, and they have started me on the very basics - walking, embrace etc. This is a bit irritating. I know you can never learn enough on these, but I don't want to waste many lessons and much money on these.
What do you think?
Unfortunately almost every teacher will do that.
The reason is that what is 'right' for that teacher will be slightly wrong for another: the way you walk, where you place your hands, your embrace, etc. So many teachers will start from the very basics and move from there.
Can be very irritating, I know, but almost nothing to be done about. When you switch teachers, expect it.
Basics by the way is the most important thing in tango, so actually these lessons on the basics may be quite a positive thing!
Basics are everything. Everything! You cannot dance well unless you know the basics. In fact dancing well can almost be defined as knowing the basics well.
I think a very good way to determine if the teacher is a good one is to see them dance. Have a look at their basics. How do they make their partner feel? How do they make their students feel?
Many intermediate students get quite frustrated with the basics because they feel they are "past it". Often that is the exact opposite - they are the ones who NEED the basics most, and have developed a style very wrong and incomplete, but compensate enough to think they dance perfectly. I know because I was like that - until I started learning from teachers who were purists and taught basics only. I then realised how bad my basics were! These teachers improved my tango infinitely!